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Finding the Fourth Proportional to 49,566.84, 74,424.09 and 20,042.34

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Solution

The fourth proportional to 49,566.84, 74,424.09 and 20,042.34 is: 30,093.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,566.84 : 74,424.09 = 20,042.34 : x
  2. Step 2: Convert to fraction form
    49,566.84/74,424.09 = 20,042.34/x
  3. Step 3: Cross multiply
    49,566.84x = 74,424.09 × 20,042.34
  4. Step 4: Simplify right side
    49,566.84x = 1,491,632,915.97
  5. Step 5: Solve for x
    x = 1,491,632,915.97/49,566.84
  6. Step 6: Final answer
    x = 30,093.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.